2 papers
math.NT2026
Integral points over number fields: a Clemens complex jigsaw puzzle
Christian Bernert, Ulrich Derenthal, Judith Ortmann +1
We prove an asymptotic formula for the number of integral points of bounded log anticanonical height on a singular quartic del Pezzo surface over arbitrary number fields, with resp…
math.NT2025
Rational points in a family of conics over
Daniel Loughran, Judith Ortmann
Serre famously showed that almost all plane conics over have no rational point. We investigate versions of this over global function fields, focusing on a specific fam…